Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics

Efficient Grid Treatment of the Time Dependent Schrödinger Equation for Laser-Driven Molecular Dynamics

Year:    2013

Communications in Computational Physics, Vol. 13 (2013), Iss. 5 : pp. 1389–1407

Abstract

We present an efficient method to solve the time dependent Schrödinger equation for modeling the dynamics of diatomic molecules irradiated by intense ultrashort laser pulse without Born-Oppenheimer approximation. By introducing a variable prolate spheroidal coordinates and discrete variable representations of the Hamiltonian, we can accurately and efficiently simulate the motion of both electronic and molecular dynamics. The accuracy and convergence of this method are tested by simulating the molecular structure, photon ionization and high harmonic generation of $H_2^+$.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.121211.310512a

Communications in Computational Physics, Vol. 13 (2013), Iss. 5 : pp. 1389–1407

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

  1. Continuum solutions to the two–center Coulomb problem in prolate spheroidal coordinates

    Singor, Adam | Savage, Jeremy S. | Bray, Igor | Schneider, Barry I. | Fursa, Dmitry V.

    Computer Physics Communications, Vol. 282 (2023), Iss. P.108514

    https://doi.org/10.1016/j.cpc.2022.108514 [Citations: 1]
  2. Field-Free Molecular Orientation Induced by a Single-Cycle THz Laser Pulse Train

    Zhang, Xiao-Miao | Li, Jian | Yu, Jie | Cong, Shu-Lin

    Communications in Computational Physics, Vol. 20 (2016), Iss. 3 P.689

    https://doi.org/10.4208/cicp.OA-2015-0001 [Citations: 7]
  3. Electron quantum dynamics in atom-ion interaction

    Sabzyan, H. | Jenabi, M. J.

    The Journal of Chemical Physics, Vol. 144 (2016), Iss. 13

    https://doi.org/10.1063/1.4944919 [Citations: 2]